What is 91/70 Divided By 4/9

Solving $\frac{91}{70}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{70} \div \frac{4}{9} = \frac{91}{70} \times \frac{9}{4}$

• Multiply the Numerators: $91 \times 9 = 819$
• Multiply the Denominators: $70 \times 4 = 280$
• Form the New Fraction: $\frac{91}{70} \times \frac{4}{9} = \frac{819}{280}$

Let's Simplify $\frac{819}{280}$

• Find the Greatest Common Divisor (GCD) of $819$ and $280$. The GCD of $819$ and $280$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{819 \div 7}{280 \div 7} = \frac{117}{40}$

Answer $\frac{91}{70}\div\frac{4}{9} = \frac{117}{40}$

The following animation demonstrates the divide-by,